Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities

Autor: Hai, Pham Viet, Hai, Trinh Ngoc
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we propose a second-order dynamical system with a smoothing effect for solving paramonotone variational inequalities. Under standard assumptions, we prove that the trajectories of this dynamical system converges to a solution of the variational inequality problem. A time discretization of this dynamical system provides an iterative inertial projection-type method. Our result generalizes and improves the existing results. Some numerical examples are given to confirm the theoretical results and illustrate the effectiveness of the proposed algorithms.
Databáze: arXiv